5m(5m+8)=-16

Solution for 5m(5m+8)=-16 equation:

Simplifying
5m(5m + 8) = -16

Reorder the terms:
5m(8 + 5m) = -16
(8 * 5m + 5m * 5m) = -16
(40m + 25m2) = -16

Solving
40m + 25m2 = -16

Solving for variable 'm'.

Reorder the terms:
16 + 40m + 25m2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 40m + 25m2 = 0

Factor a trinomial.
(4 + 5m)(4 + 5m) = 0

Subproblem 1
Set the factor '(4 + 5m)' equal to zero and attempt to solve:

Simplifying
4 + 5m = 0

Solving
4 + 5m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 5m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5m = 0 + -4
5m = 0 + -4

Combine like terms: 0 + -4 = -4
5m = -4

Divide each side by '5'.
m = -0.8

Simplifying
m = -0.8
Subproblem 2
Set the factor '(4 + 5m)' equal to zero and attempt to solve:

Simplifying
4 + 5m = 0

Solving
4 + 5m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 5m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5m = 0 + -4
5m = 0 + -4

Combine like terms: 0 + -4 = -4
5m = -4

Divide each side by '5'.
m = -0.8

Simplifying
m = -0.8
Solution
m = {-0.8, -0.8}